Search a number
-
+
214365560161140 = 223254672550149419
BaseRepresentation
bin110000101111011011011111…
…000100001100001101110100
31001010000010222110111022000100
4300233123133010030031310
5211044131131400124030
62035530102343314100
763103254263044623
oct6057333704141564
91033003873438010
10214365560161140
1162337a18237693
122006159444b930
13927c77c6b798b
143ad14c42c16ba
1519bb2180a4360
hexc2f6df10c374

214365560161140 has 72 divisors (see below), whose sum is σ = 651634580993760. Its totient is φ = 57041742181824.

The previous prime is 214365560161037. The next prime is 214365560161223. The reversal of 214365560161140 is 41161065563412.

214365560161140 is a `hidden beast` number, since 2 + 1 + 4 + 3 + 65 + 560 + 16 + 1 + 14 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1274990650 + ... + 1275158769.

It is an arithmetic number, because the mean of its divisors is an integer number (9050480291580).

Almost surely, 2214365560161140 is an apocalyptic number.

214365560161140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214365560161140 is an abundant number, since it is smaller than the sum of its proper divisors (437269020832620).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

214365560161140 is a wasteful number, since it uses less digits than its factorization.

214365560161140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2550149901 (or 2550149896 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 214365560161140 in words is "two hundred fourteen trillion, three hundred sixty-five billion, five hundred sixty million, one hundred sixty-one thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 467 934 1401 1868 2335 2802 4203 4670 5604 7005 8406 9340 14010 16812 21015 28020 42030 84060 2550149419 5100298838 7650448257 10200597676 12750747095 15300896514 22951344771 25501494190 30601793028 38252241285 45902689542 51002988380 76504482570 91805379084 114756723855 153008965140 229513447710 459026895420 1190919778673 2381839557346 3572759336019 4763679114692 5954598893365 7145518672038 10718278008057 11909197786730 14291037344076 17863796680095 21436556016114 23818395573460 35727593360190 42873112032228 53591390040285 71455186720380 107182780080570 214365560161140